Center Lyapunov exponents in partially hyperbolic dynamics
Andrey Gogolev, Ali Tahzibi
TL;DR
This paper surveys recent advances in understanding center Lyapunov exponents within partially hyperbolic dynamical systems, highlighting key ideas, general results, and open questions in the field.
Contribution
It consolidates recent findings on center Lyapunov exponents, clarifies ideas through simplified cases, and presents open problems for future research.
Findings
Summary of recent results on center Lyapunov exponents
Simplified explanations of key ideas in the field
Formulation of general theorems and open questions
Abstract
We survey a collection of recent results on center Lyapunov exponents of partially hyperbolic diffeomorphisms. We explain several ideas in simplified setups and formulate the general versions of results. We also pose some open questions.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems